The best description of how to find the equation of the line is: D. BD/DA = CE/CA, so 4/2 = y - 3/x ; solve for y to get y = 2x + 3.
<h3>How to Find the Equation of a Line?</h3>
To find the equation of a line, find the slope of the line, using the equation: Slope (m) = change in y/change in x = vertical distance/horizontal distance along a line.
The slope of any two points on a line will be the same with any other two points on the same line. Therefore, the slope of the line in the given diagram is calculated as:
Slope (m) = BD/DA = CE/CA
Substitute
4/2 = y - 3/x
2(y - 3) = 4x
y - 3 = 4x/2
y - 3 = 2x
y = 2x + 3
Therefore, the best description of how to find the equation of the line is: D. BD/DA = CE/CA, so 4/2 = y - 3/x ; solve for y to get y = 2x + 3.
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